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Filtering by: Committee Member Bokil, Vrushali A. Remove constraint Committee Member: Bokil, Vrushali A. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Contributor advisor sim Gibson, Nathan L. Remove constraint Contributor advisor sim: Gibson, Nathan L.

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  • Optimization under Uncertainty of a Magnetohydrodynamics Generator

    Creator:
    Rajbhandari, Evan
    Abstract:
    Within this dissertation, we develop tools and techniques to demonstrate the feasibility of real-time optimization of a magnetohydrodynamics generator. To ease computational complexity, we work on the kinematic magnetohydrodynamic system, prescribing the fluid-flow and model the material response of the system through an updated Generalized Ohm’s law. We focus on...
    Resource Type:
    Dissertation
    Full Text:
    Uncertainty of a Magnetohydrodynamics Generator Abstract approved: Nathan L. Gibson Within this

  • Polynomial Chaos Expansions for Random Ordinary Differential Equations

    Creator:
    McKenzie, Brian
    Abstract:
    We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear...
    Resource Type:
    Capstone Project
    Full Text:
    greatly. I also wish to express my gratitude to my committee members Dr. Vrushali Bokil and Dr. Malgorzata